Van de Beek has already confirmed Madrid are in talks with Ajax over his transfer as the LaLiga giants struggle to prise Paul Pogba from Manchester United.
However, it seems €60million target and 22-year-old Netherlands international Van de Beek will remain in Amsterdam.
"[Van de Beek] only dedicates himself to playing," Ten Hag said ahead of Tuesday's second leg against PAOK, with the third-round Champions League qualifier locked at 2-2.
"I guess and I hope that he stays with us this season.
"Otherwise, I will hear from [Ajax's director of football,] Marc Overmars."
Van de Beek starred as Ajax earned a draw away to PAOK in the opening leg in Thessaloniki, while he has managed two goals in two Eredivisie matches this season.
He made 57 appearances for Ajax in 2018-19, scoring 17 goals and supplying 13 assists as Ten Hag's men clinched an Eredivisie and KNVB Beker double and reached the semi-finals of the Champions League.